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vazorg [7]
2 years ago
10

Find the slope of the line that passes through (4, 9) and (6, 10).

Mathematics
1 answer:
kramer2 years ago
4 0

Step-by-step explanation:

Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5

= 2.2360679774998

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I don’t even know what I’m doing
larisa86 [58]

Answer:

(8, -22)

Step-by-step explanation:

The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.

If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).

Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.

5 0
3 years ago
The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c
lana66690 [7]

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100    Eqn 1

20x+45y=2600   Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600

Dividing both sides by 25

\frac{25y}{25}=\frac{600}{25}\\y=24

Putting in Eqn 1

x+24=100\\x=100-24\\x=76

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/289820
  • brainly.com/question/2826639

#LearnwithBrainly

3 0
3 years ago
Solve the equation. Graph the solution(s) if possible.<br><br> ∣x−3∣+4=9
Mazyrski [523]

Answer:

x=8

x=-2

Step-by-step explanation:

∣x−3∣+4=9

= ∣x−3∣=5

<u>Positive term: (x-3)</u>

  (x-3) = 5

Rearrange and Add up

  x = 8

<u>Negative term: -(x-3)</u>

Multiply

     -x+3 = 5  

Rearrange and Add up

     -x = 2  

Multiply both sides by (-1)

     x = -2

3 0
2 years ago
An acrobat is on a platform that is 25 feet in the air. She jumps down in the initial velocity of 4 feet/seconds . Write the qua
Alenkasestr [34]

Answer:

a) h(t) = -16t²+ 4t + 25

b) Therefore it would take her 1.25 seconds to land safely in the net.

Step-by-step explanation:

The equation to be used is given as

h(t) = –gt²+ vt + S(t)

where g = force of gravity and because our question is in feet's = 16

V= Initial velocity

h = height

S = distance

a) The quadratic function for the above question

Using the formula

v = Initial velocity in the question = 4ft/s

S(t) = 25ft in the air

Hence the Quadratic function is

h(t) = –gt²+ vt + S(t)

h(t) = -16t²+ 4t + 25

b) If the safety net is placed 5 feet above the ground, how long will it take her to land safely in the net?

We are to find the time(t)

We can calculate this by using the quadratic function we derived in question (a)

The quadratic function is

h(t) = -16t²+ 4t + 25

Where, the height (h) = 5 feet above the ground

5= -16t² + 4t + 25

-16t² + 4t + 25 -5 = 0

-16t² + 4t + 20 = 0

Using the quadratic equation formula of

x = -b ± √b² -4ac /2a

where the quadratic equation =

ax² + bx + c = 0

a = -16 , b = 4 , c = 20

x = -16 ± √4² - 4×-16×20 / 2×-16

x = -1 or ,1.25

Therefore it would take her 1.25 seconds to land safely in the net

6 0
3 years ago
Which of these situations can be modeled by an exponential function?
Gwar [14]

Answer:

B) A herd of lions whose numbers triple every decade.

Step-by-step explanation:

Situations that can be modeled by exponential functions:

A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.

In this question:

In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.

6 0
3 years ago
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